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Finding the Fourth Proportional to 2,722.68, 3,762.66 and 2,059.28

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Solution

The fourth proportional to 2,722.68, 3,762.66 and 2,059.28 is: 2,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.68 : 3,762.66 = 2,059.28 : x
  2. Step 2: Convert to fraction form
    2,722.68/3,762.66 = 2,059.28/x
  3. Step 3: Cross multiply
    2,722.68x = 3,762.66 × 2,059.28
  4. Step 4: Simplify right side
    2,722.68x = 7,748,370.48
  5. Step 5: Solve for x
    x = 7,748,370.48/2,722.68
  6. Step 6: Final answer
    x = 2,845.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.